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223812255744 = 2223272112
BaseRepresentation
bin1101000001110001000…
…0000000000000000000
3210101200212020121111100
43100130100000000000
512131331414140434
6250452401214400
722112163533100
oct3203420000000
9711625217440
10223812255744
1186a11202400
1237462331400
131814a76272c
14ab92809200
155c4dc2c699
hex341c400000

223812255744 has 621 divisors, whose sum is σ = 826722385671. Its totient is φ = 58133053440.

The previous prime is 223812255647. The next prime is 223812255769. The reversal of 223812255744 is 447552218322.

The square root of 223812255744 is 473088.

It is a perfect power (a square), and thus also a powerful number.

223812255744 is a `hidden beast` number, since 2 + 2 + 38 + 1 + 22 + 557 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 223812255744.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 20346568699 + ... + 20346568709.

Almost surely, 2223812255744 is an apocalyptic number.

223812255744 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

223812255744 is the 473088-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223812255744

223812255744 is an abundant number, since it is smaller than the sum of its proper divisors (602910129927).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

223812255744 is an frugal number, since it uses more digits than its factorization.

223812255744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 23 counting only the distinct ones).

The product of its digits is 1075200, while the sum is 45.

The spelling of 223812255744 in words is "two hundred twenty-three billion, eight hundred twelve million, two hundred fifty-five thousand, seven hundred forty-four".